1996-2016 Publications

• 2016
  • S. Markov, R. Alt, J.‑L. Lamotte : “Quasilinear Structures in Stochastic Arithmetic and their Application”, Serdica Journal of Computing, vol. 10 (1-12), (Bulgarian Academy of Sciences, Institute of Mathematics and Informatics) (2016)
• 2014
  • R. Alt, S. Markov, M. Kambourova, N. Radchenkova, S. Vassilev : “On the mathematical modelling of a batch fermentation process uisng interval data and verification methods”, 16^th international symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2014), Würzburg, Germany, pp. 26-27 (2014)
• 2013
  • R. Alt, J.‑L. Lamotte : “Stochastic arithmetic as a tool to study the stability of biological models”, International Conference on Mathematical Methodes and Models in Biosciences (BIOMATH), Sofia, Bulgaria (2013)
  • R. Alt, J.‑L. Lamotte : “Stochastic Arithmetic as a Tool to Study the Stability of Biological Models”, BIOMATH, vol. 2 (2), pp. 1-7, (Biomath Forum) (2013)
• 2012
  • R. Alt, S. Markov : “Theoretical and computational studies of some bioreactor models”, Computers & Mathematics with Applications, vol. 64 (3), pp. 350-360, (Elsevier) (2012)
• 2011
  • R. Alt, J.‑L. Lamotte, S. Markov : “On the Accuracy of the Solution of Linear Problems on the CELL Processor”, Reliable Computing, vol. 15 (1), pp. 1-12, (Springer Verlag) (2011)
• 2010
  • R. Alt, J.‑L. Lamotte, S. Markov : “Stochastic Arithmetic, theory and experiments”, Serdica Journal of Computing, vol. 4 (1), pp. 1-10, (Bulgarian Academy of Sciences, Institute of Mathematics and Informatics) (2010)
  • J. Vignes, R. Alt : “Validation des résultats des logiciels scientifiques - Approche stochastique”, chapter in Mathématiques pour l'ingénieur, vol. AF1471, pp. 1-35, (Éditions Techniques de l'Ingénieur) (2010)
• 2009
  • J. Vignes, R. Alt : “Validation des résultats des logiciels scientifiques: Problème des approximations arithmétiques”, chapter in Mathématiques pour l'ingénieur, vol. AF1470, pp. 1-11, (Éditions Techniques de l'Ingénieur) (2009)
• 2008
  • R. Alt, J.‑L. Lamotte, S. Markov : “On the accuracy of the CELL processor”, SCAN'08 conf. on Scientific computing, computer arithmetics and validated numerics, El Paso, United States, pp. 13-14 (2008)
  • R. Alt, J. Vignes : “Stochastic arithmeric as a model of granular computing”, chapter in Handbook of granular computing, pp. 33-54, (John Wiley and Sons), (ISBN: 978-0470035542) (2008)
• 2007
  • R. Alt : “A simple and efficient algorithm for eigenvalues computation”, Proceedings of the 6^th international conference on Numerical methods and applications, vol. 4310, Lecture Notes in Computer Science, Borovets, Bulgaria, pp. 271-278, (Springer) (2007)
  • R. Alt, J.‑L. Lamotte, S. Markov : “Numerical Study of Algebraic Problems using stochastic arithmetic”, Large Scale Scientific Computing (LSSC'07),, vol. 4818, Lecture Notes in Computer Science, Sozopol, Bulgaria, pp. 123-130, (Springer) (2007)
  • R. Alt, J.‑L. Lamotte, S. Markov : “Testing stochastic arithmetic and CESTAC method via polynomial computation”, IFSA 2007 - 12^th International Fuzzy Systems Association World Congress, vol. 4529, Lecture Notes in Computer Science, Cancun, Mexico, pp. 13-22, (Springer) (2007)
• 2006
  • R. Alt : “Computing eigenvalues with an additive splitting”, Proceeding of SCAN, Duisburg, Germany, pp. 141-141 (2006)
  • R. Alt, J.‑L. Lamotte, S. Markov : “On the solution to numerical problems using stochastic arithmetic”, IEEE SCAN 2006, Duisburg, Germany, pp. 156-156, (IEEE) (2006)
  • R. Alt, J.‑L. Lamotte, S. Markov : “Abstract structures in stochastic arithmetic”, Proceeding of IPMU06, Paris, France, pp. 794-801 (2006)
  • R. Alt, J.‑L. Lamotte, S. Markov : “On the numerical solution to linear problems using stochastic arithmetic”, ACM Symposium on Applied Computing, SAC'06, Dijon, France, pp. 1635-1639, (ACM) (2006)
• 2005
  • R. Alt, J.‑L. Lamotte, V. Kreinovich : “Random Interval Arithmetic is Closer to Common Sense: An Observation”, 17^th IMACS World Congress: Scientific Computation, Applied Mathematics and Simulation, Paris, France, pp. 1-4 (2005)
  • R. Alt, J.‑L. Lamotte, S. Markov : “Numerical Study of Algebraic Solutions to Linear Problems Involving Stochastic Parameters”, 5^th International Conference on Large Scale Scientific Computing, LSSC 2005, vol. 3743, Lecture Notes in Computer Science, Sozopol, Bulgaria, pp. 273-280, (Springer) (2005)
• 2004
  • S. Markov, R. Alt, J.‑L. Lamotte : “Stochastic Arithmetic: s-spaces and some applications”, Numerical Algorithms, vol. 37 (1-4), pp. 275-284, (Springer Verlag) (2004)
  • R. Alt, J.‑L. Lamotte, S. Markov : “Numerical Study of Stochastic Algebraic Solutions to Linear Problems”, SCAN 2004 - 11^th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, Fukuoka, Japan, pp. 30-30 (2004)
  • S. Markov, R. Alt : “Stochastic Arithmetic : addition and multiplication by scalars”, Applied Numerical Mathematics: an IMACS journal, vol. 50 (3-4), pp. 475-488, (Elsevier) (2004)
  • R. Alt, J.‑L. Lamotte : “Special Issue of Scan’2002 International Conference”, vol. 37, Numerical Algorithms (2004)
• 2002
  • A. Reyes, R. Suros, R. Alt : “Un sistema de modelado de medios estratificados”, XI congreso Venezolano de geofisica, Caracas, Venezuela, Bolivarian Republic of (2002)
  • B. Oussena, A. Griche, K. Bounatiro, A. Henni, R. Alt : “Enhanced identification of different types of microcalcifications using the wavelet transform method”, IWDM 2002 - 6^th International Workshop on Digital Mammography, Bremen, Germany, pp. 210-212, (Springer) (2002)
• 2001
  • R. Alt, J.‑L. Lamotte : “Some experiments on the evaluation of functional ranges using a random interval arithmetic”, Mathematics and Computers in Simulation, vol. 56 (1), pp. 17-34, (Elsevier) (2001)
• 2000
  • R. Alt, S. Markov : “On the algebraic properties of stochastic arithmetic”, Scientific Computing, Validated Numerics, Interval Methods, Karlsruhe, Germany, pp. 331-341, (Kluwer) (2000)
• 1998
  • R. Alt : “How to check the Accuracy of the solution of an iterative process”, SCAN'98, Budapest, Hungary (1998)
• 1997
  • R. Alt : “Parameter identification with uncertain data and floating-point arithmetic”, First Congress on Mathematical Models and Methods Approach to Biology and Medicine, Alicante, Spain (1997)
• 1996
  • R. Alt, J. Vignes : “Validation of results of collocation methods for ODEs with the CADNA library”, Applied Numerical Mathematics: an IMACS journal, vol. 21 (2), pp. 119-139, (Elsevier) (1996)